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Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects

Published online by Cambridge University Press:  03 June 2015

A. J. Torregrosa ,
S. Hoyas ,
M. J. Pérez-Quiles  and
J. M. Mompó-Laborda
A. J. Torregrosa*
Affiliation:
CMT-Motores Térmicos, Universitat Politécnica de València, València 46022, Spain
S. Hoyas*
Affiliation:
CMT-Motores Térmicos, Universitat Politécnica de València, València 46022, Spain
M. J. Pérez-Quiles*
Affiliation:
Instituto Universitario de Matemática Pura y Aplicada, Universitat Politécnica de Valencia, Valencia 46022, Spain
J. M. Mompó-Laborda*
Affiliation:
CMT-Motores Térmicos, Universitat Politécnica de València, València 46022, Spain
*
Email:atorreg@mot.upv.es
Corresponding author.Email:serhocal@mot.upv.es
Email:jperezq@mat.upv.es
Email:juamomla@mot.upv.es
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Abstract

In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method. The fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer wall. The top surface is open to the atmosphere and both lateral walls are adiabatic. Using the Rayleigh number as the only control parameter, many kind of bifurcations appear at moderately low Prandtl numbers and depending on the Biot number. Several regions on the Prandtl-Biot plane are identified, their boundaries being formed from competing solutions at codimension-two bifurcation points.

Keywords

76R1035P15Thermocapillary convectionPrandtl numberBiot numberlinear stability
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 2 , February 2013 , pp. 428 - 441
Copyright
Copyright © Global Science Press Limited 2013

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